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Search: MSC category 11S40 ( Zeta functions and \$L\$-functions [See also 11M41, 19F27] )

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1. CMB 2013 (vol 57 pp. 845)

Lei, Antonio
 Factorisation of Two-variable \$p\$-adic \$L\$-functions Let \$f\$ be a modular form which is non-ordinary at \$p\$. Loeffler has recently constructed four two-variable \$p\$-adic \$L\$-functions associated to \$f\$. In the case where \$a_p=0\$, he showed that, as in the one-variable case, Pollack's plus and minus splitting applies to these new objects. In this article, we show that such a splitting can be generalised to the case where \$a_p\ne0\$ using Sprung's logarithmic matrix. Keywords:modular forms, p-adic L-functions, supersingular primesCategories:11S40, 11S80

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